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84965448 = 23341791093
BaseRepresentation
bin1010001000001…
…11100001001000
312220212200200110
411010013201020
5133222343243
612233034320
72051123451
oct504074110
9186780613
1084965448
1143a62887
12245559a0
13147ab519
14b3da128
1576d4e33
hex5107848

84965448 has 64 divisors (see below), whose sum is σ = 220550400. Its totient is φ = 27256320.

The previous prime is 84965443. The next prime is 84965449. The reversal of 84965448 is 84456948.

It is a junction number, because it is equal to n+sod(n) for n = 84965397 and 84965406.

It is not an unprimeable number, because it can be changed into a prime (84965443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77190 + ... + 78282.

It is an arithmetic number, because the mean of its divisors is an integer number (3446100).

Almost surely, 284965448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84965448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110275200).

84965448 is an abundant number, since it is smaller than the sum of its proper divisors (135584952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84965448 is a wasteful number, since it uses less digits than its factorization.

84965448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1218 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 84965448 is about 9217.6704215328. The cubic root of 84965448 is about 439.6233829616.

The spelling of 84965448 in words is "eighty-four million, nine hundred sixty-five thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 79 82 123 158 164 237 246 316 328 474 492 632 948 984 1093 1896 2186 3239 3279 4372 6478 6558 8744 9717 12956 13116 19434 25912 26232 38868 44813 77736 86347 89626 134439 172694 179252 259041 268878 345388 358504 518082 537756 690776 1036164 1075512 2072328 3540227 7080454 10620681 14160908 21241362 28321816 42482724 84965448